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In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
  • a)
    515
  • b)
    545
  • c)
    618
  • d)
    644
  • e)
    666
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the faculty of Reverse-Engineering, 226 second year students study ...
The best answer is D.
Use the group formula.
Total = groupA + groupB – Both + Neither.
Total = 226 + 423 – 134 + 0 = 515 second year students.
The second year students are 80% of the total amount, therefore (515/80 x 100 = 643.75).
The best answer is D.
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Most Upvoted Answer
In the faculty of Reverse-Engineering, 226 second year students study ...
Given Data:
Total second year students = 226 + 423 = 649
Students studying both courses = 134

Calculation:
Let the total number of students in the faculty be x.
Students studying only numeric methods = 226 - 134 = 92
Students studying only automatic control of airborne vehicles = 423 - 134 = 289
Therefore, the total number of students in the faculty who are second year students = 92 + 134 + 289 = 515
Since the second year students are approximately 80% of the total, we can set up the equation:
515 = 0.8x
x = 515 / 0.8
x = 643.75
Since the number of students must be a whole number, the total number of students in the faculty is approximately 644.
Therefore, the correct answer is option D 644.
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